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Finding the Fourth Proportional to 305.07, 456.66 and 200.84

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Solution

The fourth proportional to 305.07, 456.66 and 200.84 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 456.66 = 200.84 : x
  2. Step 2: Convert to fraction form
    305.07/456.66 = 200.84/x
  3. Step 3: Cross multiply
    305.07x = 456.66 × 200.84
  4. Step 4: Simplify right side
    305.07x = 91,713.31
  5. Step 5: Solve for x
    x = 91,713.31/305.07
  6. Step 6: Final answer
    x = 300.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.